- #1
wololo
- 27
- 0
Homework Statement
Homework Equations
Maxwell relations
The Attempt at a Solution
Here is how I proceeded. Am I allowed to go from line 1 to 2? It almost seems too simple.
[tex]
dU=TdS-PdV \\
(\frac{\partial U}{\partial P})_T=T(\frac{\partial S}{\partial P})_T-P(\frac{\partial V}{\partial P})_T \\
\text{We know that}-(\frac{\partial S}{\partial P})_T=(\frac{\partial V}{\partial T})_P \\
(\frac{\partial U}{\partial P})_T=-T(\frac{\partial V}{\partial T})_P-P(\frac{\partial V}{\partial P})_T \\
(\frac{\partial U}{\partial P})_T=-[T(\frac{\partial V}{\partial T})_P+P(\frac{\partial V}{\partial P})_T]
[/tex]